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In a sequence of numbers, every number, except for the first one, is f
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11 Aug 2022, 09:47
11 Aug 2022, 09:47
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Question Stats:
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In a sequence of numbers, every number, except for the first one, is four times the square of a previous number. If the first number in the sequence is T, which of the following represents the value in terms of T, of the third number after the first number?
A. \(4^3T^4\)
B. \(4^4T^4\)
C. \(4^6T^8\)
D. \(4^7T^8\)
E. \(4^8T^8\)
A. \(4^3T^4\)
B. \(4^4T^4\)
C. \(4^6T^8\)
D. \(4^7T^8\)
E. \(4^8T^8\)
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In a sequence of numbers, every number, except for the first one, is f
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13 Aug 2022, 07:35
13 Aug 2022, 07:35
1
Carcass wrote:
In a sequence of numbers, every number, except for the first one, is four times the square of a previous number. If the first number in the sequence is T, which of the following represents the value in terms of T, of the third number after the first number?
A. \(4^3T^4\)
B. \(4^4T^4\)
C. \(4^6T^8\)
D. \(4^7T^8\)
E. \(4^8T^8\)
A. \(4^3T^4\)
B. \(4^4T^4\)
C. \(4^6T^8\)
D. \(4^7T^8\)
E. \(4^8T^8\)
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Each term = 4(previous term squared)
term1 = T
term2 = 4(T²) = 4T²
term3 = 4[(4T²)²] = 4(4²T⁴) = 4³T⁴
term4 = 4[(4³T⁴)²] = 4(4⁶T⁸) = 4⁷T⁸
Answer: D
gmatclubot
Re: In a sequence of numbers, every number, except for the first one, is f [#permalink]
13 Aug 2022, 07:35
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